Check sibling questions

Give one example of a situation in which

(ii) the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

When the data has a very high or a very low value, then mean is not an appropriate measure of central tendency.

Then, median can be an appropriate measure

Example –

Runs scored by Shikhar Diwan in 5 matches,

20,  21, 23, 100,  25

Here, Mean  = (20 + 21 + 23 + 25 + 100)/5 = 189/5 = 37.8

 

But Median ,

Arrange data in ascending Order

20, 21, 23,  25, 100

Middle term = ((5+1)/2) rd Term = 3 rd Term

Here 3 rd term is 23

Thus, Median = 23 is an appropriate measure of central tendency

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.